UNIVERSALITY IN BLOW-UP FOR NONLINEAR HEAT-EQUATIONS

被引：89

作者：

BRICMONT, J ^{[1
]}

KUPIAINEN, A ^{[1
]}

机构：

[1] UNIV HELSINKI,DEPT MATH,SF-00100 HELSINKI 10,FINLAND

来源：

NONLINEARITY | 1994年 / 7卷 / 02期

关键词：

D O I：

10.1088/0951-7715/7/2/011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the classical problem of the blowing-up of solutions of the nonlinear heat equation. We show that there exist infinitely many profiles around the blow-up point, and for each integer k, we construct a set of codimension 2k in the space of initial data giving rise to solutions that blow-up according to the given profile.

引用

收藏

页码：539 / 575

页数：37

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